{
 "metadata": {
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.6"
  },
  "orig_nbformat": 4,
  "kernelspec": {
   "name": "python3",
   "display_name": "Python 3.9.6 64-bit"
  },
  "interpreter": {
   "hash": "767d51c1340bd893661ea55ea3124f6de3c7a262a8b4abca0554b478b1e2ff90"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2,
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "   Timestamp [ms]        X [mm]        Y [mm]   Z [mm]  Heading [degrees]  \\\n",
       "0        2.129512  7.044975e+08  5.638661e+09  56600.0           359.9375   \n",
       "1      202.246529  7.044975e+08  5.638661e+09  56600.0           359.9375   \n",
       "2      402.833237  7.044975e+08  5.638661e+09  56600.0           359.9375   \n",
       "3      602.693835  7.044975e+08  5.638661e+09  56600.0           359.9375   \n",
       "4      802.647239  7.044975e+08  5.638661e+09  56600.0           359.9375   \n",
       "\n",
       "   Pitch [degrees]  Roll [degrees]    Filename  GPS quality UTM zone  \n",
       "0           -1.625             7.0  image0.jpg            4      30U  \n",
       "1           -1.625             7.0  image1.jpg            4      30U  \n",
       "2           -1.625             7.0  image2.jpg            4      30U  \n",
       "3           -1.625             7.0  image3.jpg            4      30U  \n",
       "4           -1.625             7.0  image4.jpg            4      30U  "
      ],
      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>Timestamp [ms]</th>\n      <th>X [mm]</th>\n      <th>Y [mm]</th>\n      <th>Z [mm]</th>\n      <th>Heading [degrees]</th>\n      <th>Pitch [degrees]</th>\n      <th>Roll [degrees]</th>\n      <th>Filename</th>\n      <th>GPS quality</th>\n      <th>UTM zone</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>2.129512</td>\n      <td>7.044975e+08</td>\n      <td>5.638661e+09</td>\n      <td>56600.0</td>\n      <td>359.9375</td>\n      <td>-1.625</td>\n      <td>7.0</td>\n      <td>image0.jpg</td>\n      <td>4</td>\n      <td>30U</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>202.246529</td>\n      <td>7.044975e+08</td>\n      <td>5.638661e+09</td>\n      <td>56600.0</td>\n      <td>359.9375</td>\n      <td>-1.625</td>\n      <td>7.0</td>\n      <td>image1.jpg</td>\n      <td>4</td>\n      <td>30U</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>402.833237</td>\n      <td>7.044975e+08</td>\n      <td>5.638661e+09</td>\n      <td>56600.0</td>\n      <td>359.9375</td>\n      <td>-1.625</td>\n      <td>7.0</td>\n      <td>image2.jpg</td>\n      <td>4</td>\n      <td>30U</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>602.693835</td>\n      <td>7.044975e+08</td>\n      <td>5.638661e+09</td>\n      <td>56600.0</td>\n      <td>359.9375</td>\n      <td>-1.625</td>\n      <td>7.0</td>\n      <td>image3.jpg</td>\n      <td>4</td>\n      <td>30U</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>802.647239</td>\n      <td>7.044975e+08</td>\n      <td>5.638661e+09</td>\n      <td>56600.0</td>\n      <td>359.9375</td>\n      <td>-1.625</td>\n      <td>7.0</td>\n      <td>image4.jpg</td>\n      <td>4</td>\n      <td>30U</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
     },
     "metadata": {},
     "execution_count": 1
    }
   ],
   "source": [
    "import pandas as pd\n",
    "\n",
    "DATABASE_PATH = '2020-11-04/unwrapped_dataset1'\n",
    "\n",
    "# Make a new DataFrame\n",
    "df = pd.read_csv(DATABASE_PATH + '/database_entries.csv')\n",
    "\n",
    "# Strip trailing whitespace from column names\n",
    "df = df.rename(columns=lambda x: x.strip())\n",
    "\n",
    "# Show the first few entries...\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<svg height=\"262.19625pt\" version=\"1.1\" viewBox=\"0 0 382.625 262.19625\" width=\"382.625pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <metadata>\n  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n   <cc:Work>\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n    <dc:date>2021-08-04T18:05:15.928099</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.4.2, https://matplotlib.org/</dc:title>\n     </cc:Agent>\n    </dc:creator>\n   </cc:Work>\n  </rdf:RDF>\n </metadata>\n <defs>\n  <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 262.19625 \nL 382.625 262.19625 \nL 382.625 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 40.625 224.64 \nL 375.425 224.64 \nL 375.425 7.2 \nL 40.625 7.2 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"mf114c46a28\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"67.338373\" xlink:href=\"#mf114c46a28\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 0 -->\n      <g transform=\"translate(64.157123 239.238437)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2034 4250 \nQ 1547 4250 1301 3770 \nQ 1056 3291 1056 2328 \nQ 1056 1369 1301 889 \nQ 1547 409 2034 409 \nQ 2525 409 2770 889 \nQ 3016 1369 3016 2328 \nQ 3016 3291 2770 3770 \nQ 2525 4250 2034 4250 \nz\nM 2034 4750 \nQ 2819 4750 3233 4129 \nQ 3647 3509 3647 2328 \nQ 3647 1150 3233 529 \nQ 2819 -91 2034 -91 \nQ 1250 -91 836 529 \nQ 422 1150 422 2328 \nQ 422 3509 836 4129 \nQ 1250 4750 2034 4750 \nz\n\" id=\"DejaVuSans-30\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"130.0824\" xlink:href=\"#mf114c46a28\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 10 -->\n      <g transform=\"translate(123.7199 239.238437)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 794 531 \nL 1825 531 \nL 1825 4091 \nL 703 3866 \nL 703 4441 \nL 1819 4666 \nL 2450 4666 \nL 2450 531 \nL 3481 531 \nL 3481 0 \nL 794 0 \nL 794 531 \nz\n\" id=\"DejaVuSans-31\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"192.826426\" xlink:href=\"#mf114c46a28\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 20 -->\n      <g transform=\"translate(186.463926 239.238437)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 1228 531 \nL 3431 531 \nL 3431 0 \nL 469 0 \nL 469 531 \nQ 828 903 1448 1529 \nQ 2069 2156 2228 2338 \nQ 2531 2678 2651 2914 \nQ 2772 3150 2772 3378 \nQ 2772 3750 2511 3984 \nQ 2250 4219 1831 4219 \nQ 1534 4219 1204 4116 \nQ 875 4013 500 3803 \nL 500 4441 \nQ 881 4594 1212 4672 \nQ 1544 4750 1819 4750 \nQ 2544 4750 2975 4387 \nQ 3406 4025 3406 3419 \nQ 3406 3131 3298 2873 \nQ 3191 2616 2906 2266 \nQ 2828 2175 2409 1742 \nQ 1991 1309 1228 531 \nz\n\" id=\"DejaVuSans-32\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-32\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"255.570453\" xlink:href=\"#mf114c46a28\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 30 -->\n      <g transform=\"translate(249.207953 239.238437)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2597 2516 \nQ 3050 2419 3304 2112 \nQ 3559 1806 3559 1356 \nQ 3559 666 3084 287 \nQ 2609 -91 1734 -91 \nQ 1441 -91 1130 -33 \nQ 819 25 488 141 \nL 488 750 \nQ 750 597 1062 519 \nQ 1375 441 1716 441 \nQ 2309 441 2620 675 \nQ 2931 909 2931 1356 \nQ 2931 1769 2642 2001 \nQ 2353 2234 1838 2234 \nL 1294 2234 \nL 1294 2753 \nL 1863 2753 \nQ 2328 2753 2575 2939 \nQ 2822 3125 2822 3475 \nQ 2822 3834 2567 4026 \nQ 2313 4219 1838 4219 \nQ 1578 4219 1281 4162 \nQ 984 4106 628 3988 \nL 628 4550 \nQ 988 4650 1302 4700 \nQ 1616 4750 1894 4750 \nQ 2613 4750 3031 4423 \nQ 3450 4097 3450 3541 \nQ 3450 3153 3228 2886 \nQ 3006 2619 2597 2516 \nz\n\" id=\"DejaVuSans-33\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-33\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"318.314479\" xlink:href=\"#mf114c46a28\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 40 -->\n      <g transform=\"translate(311.951979 239.238437)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2419 4116 \nL 825 1625 \nL 2419 1625 \nL 2419 4116 \nz\nM 2253 4666 \nL 3047 4666 \nL 3047 1625 \nL 3713 1625 \nL 3713 1100 \nL 3047 1100 \nL 3047 0 \nL 2419 0 \nL 2419 1100 \nL 313 1100 \nL 313 1709 \nL 2253 4666 \nz\n\" id=\"DejaVuSans-34\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-34\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_6\">\n     <!-- $x$ (m) -->\n     <g transform=\"translate(194.675 252.916562)scale(0.1 -0.1)\">\n      <defs>\n       <path d=\"M 3841 3500 \nL 2234 1784 \nL 3219 0 \nL 2559 0 \nL 1819 1388 \nL 531 0 \nL -166 0 \nL 1556 1844 \nL 641 3500 \nL 1300 3500 \nL 1972 2234 \nL 3144 3500 \nL 3841 3500 \nz\n\" id=\"DejaVuSans-Oblique-78\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-20\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 1984 4856 \nQ 1566 4138 1362 3434 \nQ 1159 2731 1159 2009 \nQ 1159 1288 1364 580 \nQ 1569 -128 1984 -844 \nL 1484 -844 \nQ 1016 -109 783 600 \nQ 550 1309 550 2009 \nQ 550 2706 781 3412 \nQ 1013 4119 1484 4856 \nL 1984 4856 \nz\n\" id=\"DejaVuSans-28\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 3328 2828 \nQ 3544 3216 3844 3400 \nQ 4144 3584 4550 3584 \nQ 5097 3584 5394 3201 \nQ 5691 2819 5691 2113 \nL 5691 0 \nL 5113 0 \nL 5113 2094 \nQ 5113 2597 4934 2840 \nQ 4756 3084 4391 3084 \nQ 3944 3084 3684 2787 \nQ 3425 2491 3425 1978 \nL 3425 0 \nL 2847 0 \nL 2847 2094 \nQ 2847 2600 2669 2842 \nQ 2491 3084 2119 3084 \nQ 1678 3084 1418 2786 \nQ 1159 2488 1159 1978 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1356 3278 1631 3431 \nQ 1906 3584 2284 3584 \nQ 2666 3584 2933 3390 \nQ 3200 3197 3328 2828 \nz\n\" id=\"DejaVuSans-6d\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 513 4856 \nL 1013 4856 \nQ 1481 4119 1714 3412 \nQ 1947 2706 1947 2009 \nQ 1947 1309 1714 600 \nQ 1481 -109 1013 -844 \nL 513 -844 \nQ 928 -128 1133 580 \nQ 1338 1288 1338 2009 \nQ 1338 2731 1133 3434 \nQ 928 4138 513 4856 \nz\n\" id=\"DejaVuSans-29\" transform=\"scale(0.015625)\"/>\n      </defs>\n      <use transform=\"translate(0 0.125)\" xlink:href=\"#DejaVuSans-Oblique-78\"/>\n      <use transform=\"translate(59.179688 0.125)\" xlink:href=\"#DejaVuSans-20\"/>\n      <use transform=\"translate(90.966797 0.125)\" xlink:href=\"#DejaVuSans-28\"/>\n      <use transform=\"translate(129.980469 0.125)\" xlink:href=\"#DejaVuSans-6d\"/>\n      <use transform=\"translate(227.392578 0.125)\" xlink:href=\"#DejaVuSans-29\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_6\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"md602865fe1\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"40.625\" xlink:href=\"#md602865fe1\" y=\"214.756364\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 0 -->\n      <g transform=\"translate(27.2625 218.555582)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_7\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"40.625\" xlink:href=\"#md602865fe1\" y=\"183.38435\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 5 -->\n      <g transform=\"translate(27.2625 187.183569)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 691 4666 \nL 3169 4666 \nL 3169 4134 \nL 1269 4134 \nL 1269 2991 \nQ 1406 3038 1543 3061 \nQ 1681 3084 1819 3084 \nQ 2600 3084 3056 2656 \nQ 3513 2228 3513 1497 \nQ 3513 744 3044 326 \nQ 2575 -91 1722 -91 \nQ 1428 -91 1123 -41 \nQ 819 9 494 109 \nL 494 744 \nQ 775 591 1075 516 \nQ 1375 441 1709 441 \nQ 2250 441 2565 725 \nQ 2881 1009 2881 1497 \nQ 2881 1984 2565 2268 \nQ 2250 2553 1709 2553 \nQ 1456 2553 1204 2497 \nQ 953 2441 691 2322 \nL 691 4666 \nz\n\" id=\"DejaVuSans-35\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-35\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"40.625\" xlink:href=\"#md602865fe1\" y=\"152.012337\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 10 -->\n      <g transform=\"translate(20.9 155.811556)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_9\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"40.625\" xlink:href=\"#md602865fe1\" y=\"120.640324\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 15 -->\n      <g transform=\"translate(20.9 124.439542)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-35\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"40.625\" xlink:href=\"#md602865fe1\" y=\"89.26831\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 20 -->\n      <g transform=\"translate(20.9 93.067529)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-32\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_11\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"40.625\" xlink:href=\"#md602865fe1\" y=\"57.896297\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 25 -->\n      <g transform=\"translate(20.9 61.695516)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-32\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-35\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_7\">\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"40.625\" xlink:href=\"#md602865fe1\" y=\"26.524284\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 30 -->\n      <g transform=\"translate(20.9 30.323503)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-33\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_14\">\n     <!-- $y$ (m) -->\n     <g transform=\"translate(14.8 129.27)rotate(-90)scale(0.1 -0.1)\">\n      <defs>\n       <path d=\"M 1588 -325 \nQ 1188 -997 936 -1164 \nQ 684 -1331 294 -1331 \nL -159 -1331 \nL -63 -850 \nL 269 -850 \nQ 509 -850 678 -719 \nQ 847 -588 1056 -206 \nL 1234 128 \nL 459 3500 \nL 1069 3500 \nL 1650 819 \nL 3256 3500 \nL 3859 3500 \nL 1588 -325 \nz\n\" id=\"DejaVuSans-Oblique-79\" transform=\"scale(0.015625)\"/>\n      </defs>\n      <use transform=\"translate(0 0.125)\" xlink:href=\"#DejaVuSans-Oblique-79\"/>\n      <use transform=\"translate(59.179688 0.125)\" xlink:href=\"#DejaVuSans-20\"/>\n      <use transform=\"translate(90.966797 0.125)\" xlink:href=\"#DejaVuSans-28\"/>\n      <use transform=\"translate(129.980469 0.125)\" xlink:href=\"#DejaVuSans-6d\"/>\n      <use transform=\"translate(227.392578 0.125)\" xlink:href=\"#DejaVuSans-29\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_13\">\n    <path clip-path=\"url(#p893eac8e63)\" d=\"M 348.711627 214.753461 \nL 348.637905 214.756364 \nL 348.711627 214.753461 \nL 348.559955 214.640667 \nL 348.168991 214.076207 \nL 347.787532 213.741917 \nL 347.010439 212.724584 \nL 346.550589 212.274615 \nL 346.302399 211.585767 \nL 345.760205 210.908496 \nL 345.05244 209.776654 \nL 344.661201 209.205218 \nL 344.339731 208.519255 \nL 342.22962 205.458549 \nL 341.829592 204.663901 \nL 341.282729 203.868047 \nL 340.960818 203.182102 \nL 340.418182 202.504848 \nL 339.236835 200.574268 \nL 338.699035 200.008602 \nL 338.377124 199.322657 \nL 336.984116 197.630956 \nL 334.929601 194.106971 \nL 334.28111 192.616499 \nL 334.000786 191.11153 \nL 333.752597 190.422682 \nL 333.367134 188.111454 \nL 333.192225 187.419721 \nL 333.082416 186.49488 \nL 332.834227 185.806032 \nL 332.880042 185.105608 \nL 332.420582 182.790307 \nL 331.828076 178.971225 \nL 331.198651 176.089748 \nL 331.097906 175.395095 \nL 330.845048 174.587665 \nL 330.817582 173.890126 \nL 329.709907 170.091329 \nL 329.103278 167.788809 \nL 328.712482 167.217356 \nL 328.464293 166.528508 \nL 328.069102 165.845448 \nL 326.84189 162.749977 \nL 326.455595 162.304098 \nL 324.87439 159.571876 \nL 324.046764 157.271071 \nL 322.507421 153.726801 \nL 321.858931 152.236329 \nL 315.855583 141.993401 \nL 314.306072 140.077316 \nL 313.699221 139.633135 \nL 311.395857 137.278656 \nL 310.17732 136.278704 \nL 309.032505 135.27585 \nL 307.819078 134.394462 \nL 304.471645 131.731782 \nL 302.655321 130.517836 \nL 301.519844 129.752144 \nL 292.609514 122.418152 \nL 292.002664 121.97397 \nL 291.538421 121.412394 \nL 290.788796 121.092599 \nL 289.570702 120.092629 \nL 288.821077 119.772834 \nL 288.282839 119.207185 \nL 287.074082 118.444378 \nL 284.503741 116.79903 \nL 283.754116 116.479235 \nL 277.680448 111.939811 \nL 275.781616 110.505553 \nL 273.294061 109.08749 \nL 272.622827 108.883373 \nL 272.020646 108.557773 \nL 271.409128 107.995009 \nL 270.130603 107.346727 \nL 269.666361 106.785151 \nL 269.059511 106.340969 \nL 268.595269 105.779392 \nL 262.806546 100.998202 \nL 261.584059 99.886625 \nL 260.296197 99.00118 \nL 257.473719 96.555358 \nL 253.009339 91.722024 \nL 252.076187 90.480289 \nL 251.690061 90.027416 \nL 251.294431 89.344372 \nL 250.83019 88.782796 \nL 250.513117 88.208439 \nL 248.057924 85.748155 \nL 247.740851 85.173798 \nL 247.211951 84.845312 \nL 246.287863 83.833764 \nL 245.758963 83.505278 \nL 243.846843 81.722232 \nL 242.637373 80.952466 \nL 242.108473 80.623979 \nL 241.644232 80.062403 \nL 241.042052 79.736802 \nL 238.664976 77.385221 \nL 238.136518 77.056717 \nL 235.759442 74.705136 \nL 229.17129 68.32763 \nL 227.727366 67.217784 \nL 227.341241 66.764911 \nL 220.97342 62.244045 \nL 216.747777 59.734698 \nL 212.007134 57.23864 \nL 209.023259 56.308188 \nL 208.347358 55.985489 \nL 207.754075 55.897068 \nL 205.960828 55.269049 \nL 202.15361 54.021702 \nL 201.551431 53.6961 \nL 200.13497 53.283791 \nL 199.45907 52.961092 \nL 198.64523 52.874368 \nL 194.102122 51.655992 \nL 193.362279 51.57334 \nL 191.798818 51.166819 \nL 190.975474 50.849924 \nL 190.240025 50.878879 \nL 189.490403 50.559082 \nL 185.770639 49.657599 \nL 185.094738 49.3349 \nL 184.358848 49.363872 \nL 183.682947 49.041172 \nL 182.873777 49.073029 \nL 180.570031 48.583873 \nL 179.015632 48.407539 \nL 178.270679 48.206323 \nL 177.45684 48.119598 \nL 176.647669 48.151455 \nL 175.166825 47.979211 \nL 174.362323 48.129649 \nL 173.695486 48.037137 \nL 172.297426 48.092179 \nL 171.557308 48.002551 \nL 171.046809 48.141415 \nL 170.007853 47.951774 \nL 168.904237 47.995223 \nL 168.393464 48.127111 \nL 166.977279 47.721776 \nL 165.717325 47.533849 \nL 160.935371 45.863783 \nL 159.601696 45.678758 \nL 159.004186 45.471737 \nL 158.268296 45.500708 \nL 156.263389 45.111565 \nL 155.514209 44.791749 \nL 154.773925 44.709114 \nL 154.024303 44.389316 \nL 152.543627 44.210079 \nL 150.851564 44.276694 \nL 149.959609 44.081264 \nL 147.88565 43.813604 \nL 146.772973 43.626864 \nL 143.646052 42.813817 \nL 137.884461 42.460789 \nL 136.854567 42.501335 \nL 132.93204 42.075904 \nL 130.706411 41.695449 \nL 129.446733 41.514496 \nL 128.329387 41.209174 \nL 127.147382 41.136942 \nL 125.073865 40.869263 \nL 123.013636 40.95037 \nL 120.723622 40.809979 \nL 119.684392 40.613361 \nL 117.371586 39.894013 \nL 115.141289 39.394974 \nL 111.886042 39.062038 \nL 110.984751 38.629444 \nL 110.019076 38.436916 \nL 108.970784 38.01011 \nL 107.931829 37.820466 \nL 107.035206 37.506454 \nL 103.043794 37.195512 \nL 97.700584 36.239165 \nL 88.973486 33.557704 \nL 85.138816 31.612804 \nL 84.301744 30.947137 \nL 82.416822 29.854645 \nL 79.488111 28.460921 \nL 78.582153 27.909745 \nL 77.607416 27.487028 \nL 75.717385 26.275972 \nL 74.738422 25.734656 \nL 73.970404 24.947505 \nL 73.133774 24.281821 \nL 72.366031 23.501645 \nL 70.715525 20.883919 \nL 70.168504 20.095055 \nL 67.338373 17.083636 \nL 67.338373 17.083636 \n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 40.625 224.64 \nL 40.625 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 375.425 224.64 \nL 375.425 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 40.625 224.64 \nL 375.425 224.64 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 40.625 7.2 \nL 375.425 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p893eac8e63\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"40.625\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# The coordinates are in millimetres (don't ask why); convert to metres\n",
    "x = df['X [mm]'] / 1000\n",
    "y = df['Y [mm]'] / 1000\n",
    "\n",
    "# As these coordinates are UTM, the x and y values are huge. Renormalise so the axes start from (0, 0)\n",
    "x -= np.min(x)\n",
    "y -= np.min(y)\n",
    "\n",
    "# Plot the coordinates\n",
    "plt.plot(x, y)\n",
    "plt.xlabel('$x$ (m)')\n",
    "plt.ylabel('$y$ (m)')\n",
    "plt.axis('equal');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "Loading 2020-11-04/unwrapped_dataset1/image0.jpg\n"
     ]
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<svg height=\"104.394844pt\" version=\"1.1\" viewBox=\"0 0 375.76375 104.394844\" width=\"375.76375pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <metadata>\n  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n   <cc:Work>\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n    <dc:date>2021-08-04T18:05:16.160790</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.4.2, https://matplotlib.org/</dc:title>\n     </cc:Agent>\n    </dc:creator>\n   </cc:Work>\n  </rdf:RDF>\n </metadata>\n <defs>\n  <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 104.394844 \nL 375.76375 104.394844 \nL 375.76375 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 33.2875 80.516719 \nL 368.0875 80.516719 \nL 368.0875 10.766719 \nL 33.2875 10.766719 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g clip-path=\"url(#p765bc3604a)\">\n    <image height=\"70\" id=\"imaged3f8d2dba2\" transform=\"scale(1 -1)translate(0 -70)\" width=\"335\" x=\"33.2875\" xlink:href=\"data:image/png;base64,\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\" y=\"-10.516719\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"m43a313951c\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.52\" xlink:href=\"#m43a313951c\" y=\"80.516719\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 0 -->\n      <g transform=\"translate(30.33875 95.115156)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2034 4250 \nQ 1547 4250 1301 3770 \nQ 1056 3291 1056 2328 \nQ 1056 1369 1301 889 \nQ 1547 409 2034 409 \nQ 2525 409 2770 889 \nQ 3016 1369 3016 2328 \nQ 3016 3291 2770 3770 \nQ 2525 4250 2034 4250 \nz\nM 2034 4750 \nQ 2819 4750 3233 4129 \nQ 3647 3509 3647 2328 \nQ 3647 1150 3233 529 \nQ 2819 -91 2034 -91 \nQ 1250 -91 836 529 \nQ 422 1150 422 2328 \nQ 422 3509 836 4129 \nQ 1250 4750 2034 4750 \nz\n\" id=\"DejaVuSans-30\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"80.02\" xlink:href=\"#m43a313951c\" y=\"80.516719\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 100 -->\n      <g transform=\"translate(70.47625 95.115156)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 794 531 \nL 1825 531 \nL 1825 4091 \nL 703 3866 \nL 703 4441 \nL 1819 4666 \nL 2450 4666 \nL 2450 531 \nL 3481 531 \nL 3481 0 \nL 794 0 \nL 794 531 \nz\n\" id=\"DejaVuSans-31\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"126.52\" xlink:href=\"#m43a313951c\" y=\"80.516719\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 200 -->\n      <g transform=\"translate(116.97625 95.115156)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 1228 531 \nL 3431 531 \nL 3431 0 \nL 469 0 \nL 469 531 \nQ 828 903 1448 1529 \nQ 2069 2156 2228 2338 \nQ 2531 2678 2651 2914 \nQ 2772 3150 2772 3378 \nQ 2772 3750 2511 3984 \nQ 2250 4219 1831 4219 \nQ 1534 4219 1204 4116 \nQ 875 4013 500 3803 \nL 500 4441 \nQ 881 4594 1212 4672 \nQ 1544 4750 1819 4750 \nQ 2544 4750 2975 4387 \nQ 3406 4025 3406 3419 \nQ 3406 3131 3298 2873 \nQ 3191 2616 2906 2266 \nQ 2828 2175 2409 1742 \nQ 1991 1309 1228 531 \nz\n\" id=\"DejaVuSans-32\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-32\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"173.02\" xlink:href=\"#m43a313951c\" y=\"80.516719\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 300 -->\n      <g transform=\"translate(163.47625 95.115156)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2597 2516 \nQ 3050 2419 3304 2112 \nQ 3559 1806 3559 1356 \nQ 3559 666 3084 287 \nQ 2609 -91 1734 -91 \nQ 1441 -91 1130 -33 \nQ 819 25 488 141 \nL 488 750 \nQ 750 597 1062 519 \nQ 1375 441 1716 441 \nQ 2309 441 2620 675 \nQ 2931 909 2931 1356 \nQ 2931 1769 2642 2001 \nQ 2353 2234 1838 2234 \nL 1294 2234 \nL 1294 2753 \nL 1863 2753 \nQ 2328 2753 2575 2939 \nQ 2822 3125 2822 3475 \nQ 2822 3834 2567 4026 \nQ 2313 4219 1838 4219 \nQ 1578 4219 1281 4162 \nQ 984 4106 628 3988 \nL 628 4550 \nQ 988 4650 1302 4700 \nQ 1616 4750 1894 4750 \nQ 2613 4750 3031 4423 \nQ 3450 4097 3450 3541 \nQ 3450 3153 3228 2886 \nQ 3006 2619 2597 2516 \nz\n\" id=\"DejaVuSans-33\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-33\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"219.52\" xlink:href=\"#m43a313951c\" y=\"80.516719\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 400 -->\n      <g transform=\"translate(209.97625 95.115156)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2419 4116 \nL 825 1625 \nL 2419 1625 \nL 2419 4116 \nz\nM 2253 4666 \nL 3047 4666 \nL 3047 1625 \nL 3713 1625 \nL 3713 1100 \nL 3047 1100 \nL 3047 0 \nL 2419 0 \nL 2419 1100 \nL 313 1100 \nL 313 1709 \nL 2253 4666 \nz\n\" id=\"DejaVuSans-34\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-34\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"266.02\" xlink:href=\"#m43a313951c\" y=\"80.516719\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 500 -->\n      <g transform=\"translate(256.47625 95.115156)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 691 4666 \nL 3169 4666 \nL 3169 4134 \nL 1269 4134 \nL 1269 2991 \nQ 1406 3038 1543 3061 \nQ 1681 3084 1819 3084 \nQ 2600 3084 3056 2656 \nQ 3513 2228 3513 1497 \nQ 3513 744 3044 326 \nQ 2575 -91 1722 -91 \nQ 1428 -91 1123 -41 \nQ 819 9 494 109 \nL 494 744 \nQ 775 591 1075 516 \nQ 1375 441 1709 441 \nQ 2250 441 2565 725 \nQ 2881 1009 2881 1497 \nQ 2881 1984 2565 2268 \nQ 2250 2553 1709 2553 \nQ 1456 2553 1204 2497 \nQ 953 2441 691 2322 \nL 691 4666 \nz\n\" id=\"DejaVuSans-35\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-35\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\">\n     <g id=\"line2d_7\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"312.52\" xlink:href=\"#m43a313951c\" y=\"80.516719\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 600 -->\n      <g transform=\"translate(302.97625 95.115156)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2113 2584 \nQ 1688 2584 1439 2293 \nQ 1191 2003 1191 1497 \nQ 1191 994 1439 701 \nQ 1688 409 2113 409 \nQ 2538 409 2786 701 \nQ 3034 994 3034 1497 \nQ 3034 2003 2786 2293 \nQ 2538 2584 2113 2584 \nz\nM 3366 4563 \nL 3366 3988 \nQ 3128 4100 2886 4159 \nQ 2644 4219 2406 4219 \nQ 1781 4219 1451 3797 \nQ 1122 3375 1075 2522 \nQ 1259 2794 1537 2939 \nQ 1816 3084 2150 3084 \nQ 2853 3084 3261 2657 \nQ 3669 2231 3669 1497 \nQ 3669 778 3244 343 \nQ 2819 -91 2113 -91 \nQ 1303 -91 875 529 \nQ 447 1150 447 2328 \nQ 447 3434 972 4092 \nQ 1497 4750 2381 4750 \nQ 2619 4750 2861 4703 \nQ 3103 4656 3366 4563 \nz\n\" id=\"DejaVuSans-36\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-36\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_8\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"359.02\" xlink:href=\"#m43a313951c\" y=\"80.516719\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 700 -->\n      <g transform=\"translate(349.47625 95.115156)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 525 4666 \nL 3525 4666 \nL 3525 4397 \nL 1831 0 \nL 1172 0 \nL 2766 4134 \nL 525 4134 \nL 525 4666 \nz\n\" id=\"DejaVuSans-37\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-37\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_9\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m31bd90b2d7\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#m31bd90b2d7\" y=\"10.999219\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 0 -->\n      <g transform=\"translate(19.925 14.798437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#m31bd90b2d7\" y=\"34.249219\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 50 -->\n      <g transform=\"translate(13.5625 38.048437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-35\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_11\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"33.2875\" xlink:href=\"#m31bd90b2d7\" y=\"57.499219\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 100 -->\n      <g transform=\"translate(7.2 61.298437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 33.2875 80.516719 \nL 33.2875 10.766719 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 368.0875 80.516719 \nL 368.0875 10.766719 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 33.2875 80.516719 \nL 368.0875 80.516719 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 33.2875 10.766719 \nL 368.0875 10.766719 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p765bc3604a\">\n   <rect height=\"69.75\" width=\"334.8\" x=\"33.2875\" y=\"10.766719\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "import cv2\n",
    "\n",
    "impath = DATABASE_PATH + '/' + df['Filename'][0]\n",
    "print('Loading ' + impath)\n",
    "\n",
    "# Read in image file\n",
    "im = cv2.imread(impath, cv2.IMREAD_GRAYSCALE)\n",
    "\n",
    "# Check it actually loaded successfully\n",
    "assert im is not None\n",
    "\n",
    "# Display image\n",
    "plt.imshow(im, cmap='gray');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<svg height=\"262.19625pt\" version=\"1.1\" viewBox=\"0 0 392.14375 262.19625\" width=\"392.14375pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <metadata>\n  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n   <cc:Work>\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n    <dc:date>2021-08-04T18:05:16.327663</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.4.2, https://matplotlib.org/</dc:title>\n     </cc:Agent>\n    </dc:creator>\n   </cc:Work>\n  </rdf:RDF>\n </metadata>\n <defs>\n  <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 262.19625 \nL 392.14375 262.19625 \nL 392.14375 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 50.14375 224.64 \nL 384.94375 224.64 \nL 384.94375 7.2 \nL 50.14375 7.2 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"m31261d8183\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"65.361932\" xlink:href=\"#m31261d8183\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 0 -->\n      <g transform=\"translate(62.180682 239.238437)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2034 4250 \nQ 1547 4250 1301 3770 \nQ 1056 3291 1056 2328 \nQ 1056 1369 1301 889 \nQ 1547 409 2034 409 \nQ 2525 409 2770 889 \nQ 3016 1369 3016 2328 \nQ 3016 3291 2770 3770 \nQ 2525 4250 2034 4250 \nz\nM 2034 4750 \nQ 2819 4750 3233 4129 \nQ 3647 3509 3647 2328 \nQ 3647 1150 3233 529 \nQ 2819 -91 2034 -91 \nQ 1250 -91 836 529 \nQ 422 1150 422 2328 \nQ 422 3509 836 4129 \nQ 1250 4750 2034 4750 \nz\n\" id=\"DejaVuSans-30\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"107.693453\" xlink:href=\"#m31261d8183\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 100 -->\n      <g transform=\"translate(98.149703 239.238437)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 794 531 \nL 1825 531 \nL 1825 4091 \nL 703 3866 \nL 703 4441 \nL 1819 4666 \nL 2450 4666 \nL 2450 531 \nL 3481 531 \nL 3481 0 \nL 794 0 \nL 794 531 \nz\n\" id=\"DejaVuSans-31\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"150.024974\" xlink:href=\"#m31261d8183\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 200 -->\n      <g transform=\"translate(140.481224 239.238437)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 1228 531 \nL 3431 531 \nL 3431 0 \nL 469 0 \nL 469 531 \nQ 828 903 1448 1529 \nQ 2069 2156 2228 2338 \nQ 2531 2678 2651 2914 \nQ 2772 3150 2772 3378 \nQ 2772 3750 2511 3984 \nQ 2250 4219 1831 4219 \nQ 1534 4219 1204 4116 \nQ 875 4013 500 3803 \nL 500 4441 \nQ 881 4594 1212 4672 \nQ 1544 4750 1819 4750 \nQ 2544 4750 2975 4387 \nQ 3406 4025 3406 3419 \nQ 3406 3131 3298 2873 \nQ 3191 2616 2906 2266 \nQ 2828 2175 2409 1742 \nQ 1991 1309 1228 531 \nz\n\" id=\"DejaVuSans-32\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-32\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"192.356495\" xlink:href=\"#m31261d8183\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 300 -->\n      <g transform=\"translate(182.812745 239.238437)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2597 2516 \nQ 3050 2419 3304 2112 \nQ 3559 1806 3559 1356 \nQ 3559 666 3084 287 \nQ 2609 -91 1734 -91 \nQ 1441 -91 1130 -33 \nQ 819 25 488 141 \nL 488 750 \nQ 750 597 1062 519 \nQ 1375 441 1716 441 \nQ 2309 441 2620 675 \nQ 2931 909 2931 1356 \nQ 2931 1769 2642 2001 \nQ 2353 2234 1838 2234 \nL 1294 2234 \nL 1294 2753 \nL 1863 2753 \nQ 2328 2753 2575 2939 \nQ 2822 3125 2822 3475 \nQ 2822 3834 2567 4026 \nQ 2313 4219 1838 4219 \nQ 1578 4219 1281 4162 \nQ 984 4106 628 3988 \nL 628 4550 \nQ 988 4650 1302 4700 \nQ 1616 4750 1894 4750 \nQ 2613 4750 3031 4423 \nQ 3450 4097 3450 3541 \nQ 3450 3153 3228 2886 \nQ 3006 2619 2597 2516 \nz\n\" id=\"DejaVuSans-33\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-33\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"234.688016\" xlink:href=\"#m31261d8183\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 400 -->\n      <g transform=\"translate(225.144266 239.238437)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2419 4116 \nL 825 1625 \nL 2419 1625 \nL 2419 4116 \nz\nM 2253 4666 \nL 3047 4666 \nL 3047 1625 \nL 3713 1625 \nL 3713 1100 \nL 3047 1100 \nL 3047 0 \nL 2419 0 \nL 2419 1100 \nL 313 1100 \nL 313 1709 \nL 2253 4666 \nz\n\" id=\"DejaVuSans-34\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-34\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"277.019537\" xlink:href=\"#m31261d8183\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 500 -->\n      <g transform=\"translate(267.475787 239.238437)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 691 4666 \nL 3169 4666 \nL 3169 4134 \nL 1269 4134 \nL 1269 2991 \nQ 1406 3038 1543 3061 \nQ 1681 3084 1819 3084 \nQ 2600 3084 3056 2656 \nQ 3513 2228 3513 1497 \nQ 3513 744 3044 326 \nQ 2575 -91 1722 -91 \nQ 1428 -91 1123 -41 \nQ 819 9 494 109 \nL 494 744 \nQ 775 591 1075 516 \nQ 1375 441 1709 441 \nQ 2250 441 2565 725 \nQ 2881 1009 2881 1497 \nQ 2881 1984 2565 2268 \nQ 2250 2553 1709 2553 \nQ 1456 2553 1204 2497 \nQ 953 2441 691 2322 \nL 691 4666 \nz\n\" id=\"DejaVuSans-35\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-35\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\">\n     <g id=\"line2d_7\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"319.351058\" xlink:href=\"#m31261d8183\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 600 -->\n      <g transform=\"translate(309.807308 239.238437)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 2113 2584 \nQ 1688 2584 1439 2293 \nQ 1191 2003 1191 1497 \nQ 1191 994 1439 701 \nQ 1688 409 2113 409 \nQ 2538 409 2786 701 \nQ 3034 994 3034 1497 \nQ 3034 2003 2786 2293 \nQ 2538 2584 2113 2584 \nz\nM 3366 4563 \nL 3366 3988 \nQ 3128 4100 2886 4159 \nQ 2644 4219 2406 4219 \nQ 1781 4219 1451 3797 \nQ 1122 3375 1075 2522 \nQ 1259 2794 1537 2939 \nQ 1816 3084 2150 3084 \nQ 2853 3084 3261 2657 \nQ 3669 2231 3669 1497 \nQ 3669 778 3244 343 \nQ 2819 -91 2113 -91 \nQ 1303 -91 875 529 \nQ 447 1150 447 2328 \nQ 447 3434 972 4092 \nQ 1497 4750 2381 4750 \nQ 2619 4750 2861 4703 \nQ 3103 4656 3366 4563 \nz\n\" id=\"DejaVuSans-36\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-36\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_8\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"361.682579\" xlink:href=\"#m31261d8183\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 700 -->\n      <g transform=\"translate(352.138829 239.238437)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 525 4666 \nL 3525 4666 \nL 3525 4397 \nL 1831 0 \nL 1172 0 \nL 2766 4134 \nL 525 4134 \nL 525 4666 \nz\n\" id=\"DejaVuSans-37\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-37\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_9\">\n     <!-- Rotation (px) -->\n     <g transform=\"translate(185.009375 252.916562)scale(0.1 -0.1)\">\n      <defs>\n       <path d=\"M 2841 2188 \nQ 3044 2119 3236 1894 \nQ 3428 1669 3622 1275 \nL 4263 0 \nL 3584 0 \nL 2988 1197 \nQ 2756 1666 2539 1819 \nQ 2322 1972 1947 1972 \nL 1259 1972 \nL 1259 0 \nL 628 0 \nL 628 4666 \nL 2053 4666 \nQ 2853 4666 3247 4331 \nQ 3641 3997 3641 3322 \nQ 3641 2881 3436 2590 \nQ 3231 2300 2841 2188 \nz\nM 1259 4147 \nL 1259 2491 \nL 2053 2491 \nQ 2509 2491 2742 2702 \nQ 2975 2913 2975 3322 \nQ 2975 3731 2742 3939 \nQ 2509 4147 2053 4147 \nL 1259 4147 \nz\n\" id=\"DejaVuSans-52\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 1959 3097 \nQ 1497 3097 1228 2736 \nQ 959 2375 959 1747 \nQ 959 1119 1226 758 \nQ 1494 397 1959 397 \nQ 2419 397 2687 759 \nQ 2956 1122 2956 1747 \nQ 2956 2369 2687 2733 \nQ 2419 3097 1959 3097 \nz\nM 1959 3584 \nQ 2709 3584 3137 3096 \nQ 3566 2609 3566 1747 \nQ 3566 888 3137 398 \nQ 2709 -91 1959 -91 \nQ 1206 -91 779 398 \nQ 353 888 353 1747 \nQ 353 2609 779 3096 \nQ 1206 3584 1959 3584 \nz\n\" id=\"DejaVuSans-6f\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 1172 4494 \nL 1172 3500 \nL 2356 3500 \nL 2356 3053 \nL 1172 3053 \nL 1172 1153 \nQ 1172 725 1289 603 \nQ 1406 481 1766 481 \nL 2356 481 \nL 2356 0 \nL 1766 0 \nQ 1100 0 847 248 \nQ 594 497 594 1153 \nL 594 3053 \nL 172 3053 \nL 172 3500 \nL 594 3500 \nL 594 4494 \nL 1172 4494 \nz\n\" id=\"DejaVuSans-74\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 2194 1759 \nQ 1497 1759 1228 1600 \nQ 959 1441 959 1056 \nQ 959 750 1161 570 \nQ 1363 391 1709 391 \nQ 2188 391 2477 730 \nQ 2766 1069 2766 1631 \nL 2766 1759 \nL 2194 1759 \nz\nM 3341 1997 \nL 3341 0 \nL 2766 0 \nL 2766 531 \nQ 2569 213 2275 61 \nQ 1981 -91 1556 -91 \nQ 1019 -91 701 211 \nQ 384 513 384 1019 \nQ 384 1609 779 1909 \nQ 1175 2209 1959 2209 \nL 2766 2209 \nL 2766 2266 \nQ 2766 2663 2505 2880 \nQ 2244 3097 1772 3097 \nQ 1472 3097 1187 3025 \nQ 903 2953 641 2809 \nL 641 3341 \nQ 956 3463 1253 3523 \nQ 1550 3584 1831 3584 \nQ 2591 3584 2966 3190 \nQ 3341 2797 3341 1997 \nz\n\" id=\"DejaVuSans-61\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 603 3500 \nL 1178 3500 \nL 1178 0 \nL 603 0 \nL 603 3500 \nz\nM 603 4863 \nL 1178 4863 \nL 1178 4134 \nL 603 4134 \nL 603 4863 \nz\n\" id=\"DejaVuSans-69\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 3513 2113 \nL 3513 0 \nL 2938 0 \nL 2938 2094 \nQ 2938 2591 2744 2837 \nQ 2550 3084 2163 3084 \nQ 1697 3084 1428 2787 \nQ 1159 2491 1159 1978 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1366 3272 1645 3428 \nQ 1925 3584 2291 3584 \nQ 2894 3584 3203 3211 \nQ 3513 2838 3513 2113 \nz\n\" id=\"DejaVuSans-6e\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-20\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 1984 4856 \nQ 1566 4138 1362 3434 \nQ 1159 2731 1159 2009 \nQ 1159 1288 1364 580 \nQ 1569 -128 1984 -844 \nL 1484 -844 \nQ 1016 -109 783 600 \nQ 550 1309 550 2009 \nQ 550 2706 781 3412 \nQ 1013 4119 1484 4856 \nL 1984 4856 \nz\n\" id=\"DejaVuSans-28\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 1159 525 \nL 1159 -1331 \nL 581 -1331 \nL 581 3500 \nL 1159 3500 \nL 1159 2969 \nQ 1341 3281 1617 3432 \nQ 1894 3584 2278 3584 \nQ 2916 3584 3314 3078 \nQ 3713 2572 3713 1747 \nQ 3713 922 3314 415 \nQ 2916 -91 2278 -91 \nQ 1894 -91 1617 61 \nQ 1341 213 1159 525 \nz\nM 3116 1747 \nQ 3116 2381 2855 2742 \nQ 2594 3103 2138 3103 \nQ 1681 3103 1420 2742 \nQ 1159 2381 1159 1747 \nQ 1159 1113 1420 752 \nQ 1681 391 2138 391 \nQ 2594 391 2855 752 \nQ 3116 1113 3116 1747 \nz\n\" id=\"DejaVuSans-70\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 3513 3500 \nL 2247 1797 \nL 3578 0 \nL 2900 0 \nL 1881 1375 \nL 863 0 \nL 184 0 \nL 1544 1831 \nL 300 3500 \nL 978 3500 \nL 1906 2253 \nL 2834 3500 \nL 3513 3500 \nz\n\" id=\"DejaVuSans-78\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 513 4856 \nL 1013 4856 \nQ 1481 4119 1714 3412 \nQ 1947 2706 1947 2009 \nQ 1947 1309 1714 600 \nQ 1481 -109 1013 -844 \nL 513 -844 \nQ 928 -128 1133 580 \nQ 1338 1288 1338 2009 \nQ 1338 2731 1133 3434 \nQ 928 4138 513 4856 \nz\n\" id=\"DejaVuSans-29\" transform=\"scale(0.015625)\"/>\n      </defs>\n      <use xlink:href=\"#DejaVuSans-52\"/>\n      <use x=\"64.982422\" xlink:href=\"#DejaVuSans-6f\"/>\n      <use x=\"126.164062\" xlink:href=\"#DejaVuSans-74\"/>\n      <use x=\"165.373047\" xlink:href=\"#DejaVuSans-61\"/>\n      <use x=\"226.652344\" xlink:href=\"#DejaVuSans-74\"/>\n      <use x=\"265.861328\" xlink:href=\"#DejaVuSans-69\"/>\n      <use x=\"293.644531\" xlink:href=\"#DejaVuSans-6f\"/>\n      <use x=\"354.826172\" xlink:href=\"#DejaVuSans-6e\"/>\n      <use x=\"418.205078\" xlink:href=\"#DejaVuSans-20\"/>\n      <use x=\"449.992188\" xlink:href=\"#DejaVuSans-28\"/>\n      <use x=\"489.005859\" xlink:href=\"#DejaVuSans-70\"/>\n      <use x=\"552.482422\" xlink:href=\"#DejaVuSans-78\"/>\n      <use x=\"611.662109\" xlink:href=\"#DejaVuSans-29\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_9\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"mfc17086b47\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#mfc17086b47\" y=\"214.756364\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 0.00 -->\n      <g transform=\"translate(20.878125 218.555582)scale(0.1 -0.1)\">\n       <defs>\n        <path d=\"M 684 794 \nL 1344 794 \nL 1344 0 \nL 684 0 \nL 684 794 \nz\n\" id=\"DejaVuSans-2e\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#mfc17086b47\" y=\"172.238198\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 0.05 -->\n      <g transform=\"translate(20.878125 176.037417)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-35\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_11\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#mfc17086b47\" y=\"129.720032\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 0.10 -->\n      <g transform=\"translate(20.878125 133.519251)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#mfc17086b47\" y=\"87.201866\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 0.15 -->\n      <g transform=\"translate(20.878125 91.001085)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-35\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_13\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#mfc17086b47\" y=\"44.6837\"/>\n      </g>\n     </g>\n     <g id=\"text_14\">\n      <!-- 0.20 -->\n      <g transform=\"translate(20.878125 48.482919)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-32\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_15\">\n     <!-- Mean image difference -->\n     <g transform=\"translate(14.798438 173.47)rotate(-90)scale(0.1 -0.1)\">\n      <defs>\n       <path d=\"M 628 4666 \nL 1569 4666 \nL 2759 1491 \nL 3956 4666 \nL 4897 4666 \nL 4897 0 \nL 4281 0 \nL 4281 4097 \nL 3078 897 \nL 2444 897 \nL 1241 4097 \nL 1241 0 \nL 628 0 \nL 628 4666 \nz\n\" id=\"DejaVuSans-4d\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 3597 1894 \nL 3597 1613 \nL 953 1613 \nQ 991 1019 1311 708 \nQ 1631 397 2203 397 \nQ 2534 397 2845 478 \nQ 3156 559 3463 722 \nL 3463 178 \nQ 3153 47 2828 -22 \nQ 2503 -91 2169 -91 \nQ 1331 -91 842 396 \nQ 353 884 353 1716 \nQ 353 2575 817 3079 \nQ 1281 3584 2069 3584 \nQ 2775 3584 3186 3129 \nQ 3597 2675 3597 1894 \nz\nM 3022 2063 \nQ 3016 2534 2758 2815 \nQ 2500 3097 2075 3097 \nQ 1594 3097 1305 2825 \nQ 1016 2553 972 2059 \nL 3022 2063 \nz\n\" id=\"DejaVuSans-65\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 3328 2828 \nQ 3544 3216 3844 3400 \nQ 4144 3584 4550 3584 \nQ 5097 3584 5394 3201 \nQ 5691 2819 5691 2113 \nL 5691 0 \nL 5113 0 \nL 5113 2094 \nQ 5113 2597 4934 2840 \nQ 4756 3084 4391 3084 \nQ 3944 3084 3684 2787 \nQ 3425 2491 3425 1978 \nL 3425 0 \nL 2847 0 \nL 2847 2094 \nQ 2847 2600 2669 2842 \nQ 2491 3084 2119 3084 \nQ 1678 3084 1418 2786 \nQ 1159 2488 1159 1978 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1356 3278 1631 3431 \nQ 1906 3584 2284 3584 \nQ 2666 3584 2933 3390 \nQ 3200 3197 3328 2828 \nz\n\" id=\"DejaVuSans-6d\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 2906 1791 \nQ 2906 2416 2648 2759 \nQ 2391 3103 1925 3103 \nQ 1463 3103 1205 2759 \nQ 947 2416 947 1791 \nQ 947 1169 1205 825 \nQ 1463 481 1925 481 \nQ 2391 481 2648 825 \nQ 2906 1169 2906 1791 \nz\nM 3481 434 \nQ 3481 -459 3084 -895 \nQ 2688 -1331 1869 -1331 \nQ 1566 -1331 1297 -1286 \nQ 1028 -1241 775 -1147 \nL 775 -588 \nQ 1028 -725 1275 -790 \nQ 1522 -856 1778 -856 \nQ 2344 -856 2625 -561 \nQ 2906 -266 2906 331 \nL 2906 616 \nQ 2728 306 2450 153 \nQ 2172 0 1784 0 \nQ 1141 0 747 490 \nQ 353 981 353 1791 \nQ 353 2603 747 3093 \nQ 1141 3584 1784 3584 \nQ 2172 3584 2450 3431 \nQ 2728 3278 2906 2969 \nL 2906 3500 \nL 3481 3500 \nL 3481 434 \nz\n\" id=\"DejaVuSans-67\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 2906 2969 \nL 2906 4863 \nL 3481 4863 \nL 3481 0 \nL 2906 0 \nL 2906 525 \nQ 2725 213 2448 61 \nQ 2172 -91 1784 -91 \nQ 1150 -91 751 415 \nQ 353 922 353 1747 \nQ 353 2572 751 3078 \nQ 1150 3584 1784 3584 \nQ 2172 3584 2448 3432 \nQ 2725 3281 2906 2969 \nz\nM 947 1747 \nQ 947 1113 1208 752 \nQ 1469 391 1925 391 \nQ 2381 391 2643 752 \nQ 2906 1113 2906 1747 \nQ 2906 2381 2643 2742 \nQ 2381 3103 1925 3103 \nQ 1469 3103 1208 2742 \nQ 947 2381 947 1747 \nz\n\" id=\"DejaVuSans-64\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 2375 4863 \nL 2375 4384 \nL 1825 4384 \nQ 1516 4384 1395 4259 \nQ 1275 4134 1275 3809 \nL 1275 3500 \nL 2222 3500 \nL 2222 3053 \nL 1275 3053 \nL 1275 0 \nL 697 0 \nL 697 3053 \nL 147 3053 \nL 147 3500 \nL 697 3500 \nL 697 3744 \nQ 697 4328 969 4595 \nQ 1241 4863 1831 4863 \nL 2375 4863 \nz\n\" id=\"DejaVuSans-66\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 2631 2963 \nQ 2534 3019 2420 3045 \nQ 2306 3072 2169 3072 \nQ 1681 3072 1420 2755 \nQ 1159 2438 1159 1844 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1341 3275 1631 3429 \nQ 1922 3584 2338 3584 \nQ 2397 3584 2469 3576 \nQ 2541 3569 2628 3553 \nL 2631 2963 \nz\n\" id=\"DejaVuSans-72\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 3122 3366 \nL 3122 2828 \nQ 2878 2963 2633 3030 \nQ 2388 3097 2138 3097 \nQ 1578 3097 1268 2742 \nQ 959 2388 959 1747 \nQ 959 1106 1268 751 \nQ 1578 397 2138 397 \nQ 2388 397 2633 464 \nQ 2878 531 3122 666 \nL 3122 134 \nQ 2881 22 2623 -34 \nQ 2366 -91 2075 -91 \nQ 1284 -91 818 406 \nQ 353 903 353 1747 \nQ 353 2603 823 3093 \nQ 1294 3584 2113 3584 \nQ 2378 3584 2631 3529 \nQ 2884 3475 3122 3366 \nz\n\" id=\"DejaVuSans-63\" transform=\"scale(0.015625)\"/>\n      </defs>\n      <use xlink:href=\"#DejaVuSans-4d\"/>\n      <use x=\"86.279297\" xlink:href=\"#DejaVuSans-65\"/>\n      <use x=\"147.802734\" xlink:href=\"#DejaVuSans-61\"/>\n      <use x=\"209.082031\" xlink:href=\"#DejaVuSans-6e\"/>\n      <use x=\"272.460938\" xlink:href=\"#DejaVuSans-20\"/>\n      <use x=\"304.248047\" xlink:href=\"#DejaVuSans-69\"/>\n      <use x=\"332.03125\" xlink:href=\"#DejaVuSans-6d\"/>\n      <use x=\"429.443359\" xlink:href=\"#DejaVuSans-61\"/>\n      <use x=\"490.722656\" xlink:href=\"#DejaVuSans-67\"/>\n      <use x=\"554.199219\" xlink:href=\"#DejaVuSans-65\"/>\n      <use x=\"615.722656\" xlink:href=\"#DejaVuSans-20\"/>\n      <use x=\"647.509766\" xlink:href=\"#DejaVuSans-64\"/>\n      <use x=\"710.986328\" xlink:href=\"#DejaVuSans-69\"/>\n      <use x=\"738.769531\" xlink:href=\"#DejaVuSans-66\"/>\n      <use x=\"773.974609\" xlink:href=\"#DejaVuSans-66\"/>\n      <use x=\"809.179688\" xlink:href=\"#DejaVuSans-65\"/>\n      <use x=\"870.703125\" xlink:href=\"#DejaVuSans-72\"/>\n      <use x=\"909.566406\" xlink:href=\"#DejaVuSans-65\"/>\n      <use x=\"971.089844\" xlink:href=\"#DejaVuSans-6e\"/>\n      <use x=\"1034.46875\" xlink:href=\"#DejaVuSans-63\"/>\n      <use x=\"1089.449219\" xlink:href=\"#DejaVuSans-65\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_14\">\n    <path clip-path=\"url(#pe988b3b8c2)\" d=\"M 65.361932 214.756364 \nL 65.785247 181.711999 \nL 66.208562 174.16859 \nL 67.055193 165.603079 \nL 67.901823 158.561552 \nL 71.288345 134.182432 \nL 72.55829 126.093482 \nL 74.674866 114.879185 \nL 76.791443 106.194116 \nL 77.214758 104.926661 \nL 78.061388 101.833488 \nL 80.601279 93.736695 \nL 81.871225 90.185733 \nL 83.564486 86.2761 \nL 84.411116 84.787316 \nL 86.104377 80.628317 \nL 87.374323 78.075621 \nL 88.644268 75.86585 \nL 89.914214 73.555356 \nL 91.607475 71.278705 \nL 92.454105 69.977964 \nL 93.300736 68.976857 \nL 94.147366 67.607692 \nL 95.840627 64.835396 \nL 97.533888 62.288814 \nL 100.073779 59.403261 \nL 100.497094 59.087076 \nL 101.76704 57.719023 \nL 102.61367 57.05275 \nL 103.460301 56.498933 \nL 106.000192 54.475291 \nL 106.423507 54.391366 \nL 107.270138 53.700268 \nL 108.116768 53.177576 \nL 108.963399 52.456959 \nL 110.656659 51.407931 \nL 111.50329 50.781738 \nL 111.926605 50.503779 \nL 112.34992 50.030491 \nL 112.773235 49.735982 \nL 113.196551 49.256024 \nL 113.619866 48.967012 \nL 114.889811 47.666579 \nL 115.313127 47.297162 \nL 115.736442 46.709442 \nL 117.853018 44.724767 \nL 118.699648 43.704949 \nL 119.546279 42.884413 \nL 120.816224 41.324302 \nL 121.662855 40.602574 \nL 126.319322 35.946387 \nL 127.589268 34.405296 \nL 128.859213 32.66517 \nL 136.902202 21.360772 \nL 138.595463 19.376962 \nL 140.288724 17.933938 \nL 141.55867 17.26254 \nL 143.675246 17.096234 \nL 145.368507 17.715017 \nL 146.215137 18.261238 \nL 147.061767 18.849576 \nL 148.331713 19.888785 \nL 149.601659 20.605697 \nL 150.448289 21.321682 \nL 151.29492 21.848265 \nL 151.718235 21.921753 \nL 152.98818 22.608837 \nL 154.258126 22.660587 \nL 155.104756 22.726479 \nL 155.951387 22.687018 \nL 157.644648 22.561409 \nL 159.761224 22.68041 \nL 160.607854 22.557765 \nL 161.454485 22.476187 \nL 163.994376 21.495892 \nL 164.417691 21.309639 \nL 167.380898 21.011364 \nL 167.804213 21.014452 \nL 168.227528 21.186747 \nL 169.074158 21.29278 \nL 170.344104 21.88118 \nL 172.037365 22.767052 \nL 172.46068 22.872529 \nL 172.883995 23.140792 \nL 174.577256 23.461299 \nL 175.847202 23.36805 \nL 176.693832 23.113497 \nL 177.963778 22.377441 \nL 178.810408 21.755632 \nL 179.233723 21.567651 \nL 180.080354 20.845861 \nL 180.926984 20.122342 \nL 182.19693 19.430936 \nL 183.466876 19.093013 \nL 183.890191 19.002049 \nL 185.160136 19.044104 \nL 186.006767 18.956103 \nL 186.853397 19.124694 \nL 189.816604 19.996177 \nL 194.049756 21.490087 \nL 196.589647 21.726175 \nL 200.822799 20.678012 \nL 202.51606 21.062188 \nL 204.209321 22.50231 \nL 205.902582 24.380458 \nL 207.595843 26.275033 \nL 209.712419 28.062154 \nL 210.559049 28.72188 \nL 211.405679 29.467384 \nL 212.25231 29.865394 \nL 213.09894 30.200166 \nL 218.178723 29.810308 \nL 219.025353 29.860762 \nL 219.448668 29.844891 \nL 220.718614 30.11865 \nL 222.411875 30.200166 \nL 223.258505 29.865394 \nL 224.528451 29.151694 \nL 225.375081 28.371052 \nL 227.068342 27.011891 \nL 228.338288 25.86881 \nL 229.608233 24.380458 \nL 230.878179 22.940521 \nL 232.148125 21.71543 \nL 233.41807 20.90107 \nL 233.841386 20.779104 \nL 235.534646 20.822271 \nL 236.804592 21.214043 \nL 237.651222 21.436237 \nL 238.074538 21.454146 \nL 238.921168 21.726175 \nL 239.767799 21.707402 \nL 243.15432 21.018898 \nL 244.000951 20.706172 \nL 244.847581 20.24789 \nL 245.694211 19.996177 \nL 246.540842 19.765646 \nL 247.810788 19.387707 \nL 248.657418 19.124694 \nL 250.773994 19.06405 \nL 252.04394 19.093013 \nL 253.313885 19.430936 \nL 254.583831 20.122342 \nL 255.430461 20.845861 \nL 256.277092 21.567651 \nL 257.123722 22.032603 \nL 257.970353 22.670468 \nL 259.240298 23.267389 \nL 260.086929 23.474515 \nL 260.933559 23.461299 \nL 261.356874 23.505825 \nL 262.62682 23.140792 \nL 263.050135 22.872529 \nL 263.47345 22.767052 \nL 266.436657 21.29278 \nL 268.129918 21.011364 \nL 269.823178 21.117767 \nL 270.246494 21.123387 \nL 272.786385 21.994068 \nL 274.056331 22.476187 \nL 275.749591 22.68041 \nL 277.019537 22.523244 \nL 278.289483 22.6139 \nL 279.982744 22.653176 \nL 280.829374 22.740004 \nL 282.09932 22.612665 \nL 282.522635 22.608837 \nL 282.94595 22.451115 \nL 283.79258 21.921753 \nL 284.215896 21.848265 \nL 285.485841 20.991726 \nL 286.332472 20.362753 \nL 288.025733 19.227515 \nL 288.872363 18.495227 \nL 290.988939 17.301384 \nL 292.6822 17.089997 \nL 293.52883 17.209122 \nL 294.375461 17.410257 \nL 296.492037 18.996429 \nL 297.338667 19.849201 \nL 300.725189 24.058777 \nL 304.958341 30.236478 \nL 308.344863 34.935461 \nL 309.191493 35.946387 \nL 310.038123 36.952434 \nL 315.541221 42.35184 \nL 316.387852 43.350661 \nL 317.234482 44.182375 \nL 318.081112 45.129323 \nL 319.774373 46.709442 \nL 320.197689 47.297162 \nL 321.467634 48.488597 \nL 321.890949 48.967012 \nL 322.314265 49.256024 \nL 322.73758 49.735982 \nL 323.160895 50.030491 \nL 323.58421 50.503779 \nL 326.970732 52.80785 \nL 327.817362 53.45115 \nL 328.663993 53.969396 \nL 329.087308 54.391366 \nL 329.510623 54.475291 \nL 330.780569 55.626585 \nL 331.627199 56.168978 \nL 334.590406 58.602548 \nL 335.437036 59.403261 \nL 336.706982 60.680473 \nL 338.400243 62.833986 \nL 339.246873 64.161528 \nL 342.633395 69.535182 \nL 343.05671 69.977964 \nL 346.443232 75.014807 \nL 347.713177 77.366676 \nL 348.559808 78.971498 \nL 349.406438 80.628317 \nL 350.676384 83.703211 \nL 351.099699 84.787316 \nL 351.946329 86.2761 \nL 354.062905 91.21043 \nL 356.179481 97.659297 \nL 359.142688 107.72897 \nL 360.835949 114.879185 \nL 362.52921 123.745442 \nL 363.799155 131.33881 \nL 366.339046 149.106154 \nL 368.032307 161.83647 \nL 368.878938 169.611705 \nL 369.302253 174.16859 \nL 369.725568 181.711999 \nL 369.725568 181.711999 \n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 50.14375 224.64 \nL 50.14375 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 384.94375 224.64 \nL 384.94375 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 50.14375 224.64 \nL 384.94375 224.64 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 50.14375 7.2 \nL 384.94375 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"pe988b3b8c2\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"50.14375\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "def meanAbsDiff(im1, im2):\n",
    "    # We're assuming that these images are bytes (i.e. max value is 255)\n",
    "    assert im.dtype == 'uint8'\n",
    "\n",
    "    diffIm = cv2.absdiff(im1, im2)\n",
    "    return np.mean(diffIm) / 255.0\n",
    "\n",
    "def calculateRIDF(im1, im2):\n",
    "    diffs = []\n",
    "    for i in range(im.shape[1]):\n",
    "        # Rotate image to the right by i pixels\n",
    "        rotIm = np.roll(im, i, axis=1)\n",
    "\n",
    "        # Save the difference between initial image and rotated version\n",
    "        diffs.append(meanAbsDiff(im, rotIm))\n",
    "    \n",
    "    # Return as a numpy array because they're easier to work with\n",
    "    return np.array(diffs)\n",
    "\n",
    "# Compute an auto-RIDF, i.e. comparing im vs itself\n",
    "ridf = calculateRIDF(im, im)\n",
    "\n",
    "plt.xlabel('Rotation (px)')\n",
    "plt.ylabel('Mean image difference')\n",
    "plt.plot(ridf);"
   ]
  }
 ]
}